Finding the Third Proportional to 12,102 and 32,870

Step by Step Solution

1. Step 1: Write the proportion equation
   12,102 : 32,870 = 32,870 : x
2. Step 2: Convert to fraction form
   12,102/32,870 = 32,870/x
3. Step 3: Cross multiply
   12,102x = 32,870 × 32,870
4. Step 4: Simplify right side
   12,102x = 1,080,436,900
5. Step 5: Solve for x
   x = 1,080,436,900/12,102
6. Step 6: Final answer
   x = 89,277.55